High School AP Statistics

Module One: Exploring One-Variable Data

-Determine an investigative question within a statistical study

-Identify observational units, variables, parameters, and statistics of a statistical study or a data set

-Construct tabular and graphical representations for one categorical variable and one quantitative variable

-Describe the shape, center, variability, and unusual features of distributions for one quantitative variable

-Calculate measures of center, relative position, and measures of variability for quantitative data

-Compare multiple quantitative one-variable graphical representations and summary statistics

Module Two: Collecting Data

-Justify the appropriateness of a random sampling method and the generalizations made for a statistical study

-Identify potential sources of bias in sampling methods

-Identify the elements and designs of a well-designed experiment, such as random assignment, replication, and direct control

Module Three: Probability

-Calculate summary statistics from two-way tables

-Estimate probabilities using simulation

-Calculate probabilities using probability rules for mutually exclusive events, conditional probabilities, and independent events

Module Four: Random Variables and Probability

-Construct a probability distribution for discrete random variables

-Interpret the mean and standard deviation for discrete random variables, including the binomial distribution

-Describe continuous normal distributions, sampling distributions using simulations, and the empirical rule

Module Five: Inference for One-Proportion

-Calculate the mean and standard deviation of a sampling distribution for a sample proportion

-Construct an appropriate confidence interval for a population proportion. 

-Carry out a test for a population proportion

-Interpret the p-value of a hypothesis test for a population proportion

-Identify Type I and Type II errors and calculate the probabilities

Module Six: Inference for Two Proportions and Two-Way Tables

-Calculate the mean and standard deviation of a sampling distribution for the difference between two sample proportions

-Construct an appropriate confidence interval for the difference between two population proportions

-Carry out a test for the difference between two population proportions

-Interpret the p-value of a hypothesis test for the difference between two population proportions in context

-Calculate expected counts for two-way tables of categorical data

-Justify a claim about populations based on the results of a chi-square test for homogeneity or independence

Module Seven: Inference for One Mean

-Calculate the mean and standard deviation of a sampling distribution of a sample mean and for the difference between two sample means

-Describe t-distributions and use them to find critical values for inferences about a population mean

-Justify the appropriateness of constructing a confidence interval for a population mean and a population mean difference

-Calculate an appropriate test statistic and p-value for testing a hypothesis about a population mean and a population mean difference

-Interpret a confidence interval in context for a population mean and a population mean difference

Module Eight: Inference for Two Means and Regression Analysis

-Calculate the mean and standard deviation of a sampling distribution for a difference in sample means

-Construct and interpret a confidence interval in context for the difference between two population means

-Calculate an appropriate test statistic and p-value for testing a hypothesis about the difference between two population means. 

-Construct and analyze scatterplots showing the relationship between two quantitative variables

-Interpret the correlation coefficient and the coefficient of determination for a linear relationship

-Calculate the coefficients for the least-squares regression line, predicted response values, and residuals